how can i solve this equation

How Can I Solve This Equation

Answers

Answer 1

Answer:

D. -1.44 and 2.44

Step-by-step explanation:

[tex]f(x) = 2 {ax}^{2} + (3 - b)x + 7[/tex]

is equal to:

[tex]g(x) = (a - 1) {x}^{2} + 2bx + 7[/tex]

•◇•◇○◇•◇•

➡️ [tex] - 2 {x}^{2} + 2x + 7 = 0[/tex]

➡️ [tex]Δ = {b}^{2} - 4ac = 4 - 4 \times 7 \times ( - 2) = 60 = \sqrt{Δ} = 7.746[/tex]

➡️ [tex]x = \frac{ - b± \sqrt{Δ} }{2a} = \frac{ - 2± 7.746}{ - Δ} [/tex]

➡️ [tex] x_{1} = \frac{ - 2 + 7.746}{ - 4} = - 1.44[/tex]

➡️ [tex] x_{2} = \frac{ - 2 - 7.746}{ - 4} = 2.44[/tex]


Related Questions

2.8 2.08 and 2.008 in order

Answers

Answer:

2.008, 2.08, 2.8

Step-by-step explanation:

You basically have to go in order of the tens, hundreths, and thousandths place. So first is the thousandths place which is the third digit after the decimal. That would be 2.008, then the one that has a hundredths place is 2.08, and then the tenths place with the 2.8

2.008, 2.08, 2.8


Thousandths are least than the hundredths and the hundredths are least than the tenths. Just remember that!

(3/5) + (-6/7)+(-2/5)+(3/14) find

Answers

Answer:

[tex] \frac{ - 31}{70} [/tex]

Step-by-step explanation:

[tex] \frac{3}{5} + ( \frac{ - 6}{7} ) + ( \frac{ - 2}{5} ) + \frac{3}{14} [/tex]

[tex] = \frac{42 + ( - 60) + ( - 28) + 15}{70} [/tex]

[tex] = \frac{42 + 15 - 60 - 28}{70} [/tex]

[tex] = \frac{57 - 88}{70} [/tex]

[tex] = \frac{ - 31}{70} (ans)[/tex]

The set S = {x\-4 Plz help ASAP

Answers

Answer:

[ - 4, 8 ]

Step-by-step explanation:

parenthesis ( ) is used when end values are not equal to x

brackets [ ] are used when the end values are equal to x

For - 4 ≤ x ≤ 8

Then x can equal both - 4 and 8 , so

[ - 4, 8 ] ← is the appropriate interval notation

what is an expression for...

4x + 4x + 4x + 4x + 4x + 4x

Answers

6(4x) would be the answer

Answer:

24x

Step-by-step explanation:

4x + 4x + 4x + 4x + 4x + 4x

=> 4(x + x + x + x + x + x)

=> 4(6x)

=> 24x

The lines shown below are perpendicular. Find the slope-intercept form of the equation of line y2.

Answers

Answer:

y = -1/3x + 4

Step-by-step explanation:

Perpendicular lines have slopes that are negative reciprocals of each other.  The equation for line y1 is 3x - 4  The slope is the coefficient of x, which is 3.  That means the slope of line y2 is -1/3, because it's the negative reciprocal.  As for the y-intercept, just look for the point on the y-axis that the line intercepts.  If we look closely, we can see it intercepts point (0,4) on the y-axis.  Therefore, the slope-intercept form equation for line y2 is:  y = -1/3x + 4.

Answer:

y=5-x/3

Step-by-step explanation:

Squere root of 23 is between which two consecutive integers ?

Answers

Answer:

4 and 5

Step-by-step explanation:

4^2 = 16

5^2 = 25

What is the least positive integer by which 1922 should be divided so that the resultant integer is a
perfect square?

Answers

Answer:

1922 = 2× 31 × 31

Therefore, 1922 should be divided by 2 to get 961 which is a square of 31.

I hope this helped!

Someone help please

1= 39 degrees
2: 40 degrees
3: 41 degrees
4: 42 degrees

Answers

Answer:

A

Step-by-step explanation:

This uses the sine law.

Sin(theta)/113 = sin(42)/120             Multiply both sides by 113

sin(theta) = 113*sin(42)/120

sin42 = 0.6691

sin(theta) = 113 * 0.6691 / 120

sin(theta) = 0.630008

theta = sin-1(0.63008)

theta = 39.1    Looks Like A

y more than 2 decreased by 8

Answers

Answer:

( y + 2 ) - 8

hope that helps uh..

cosA_1+sin1 + 1+sinA_cosA=2secA​

Answers

Step-by-step explanation:

all steps are done in the picture

Put the following equation of a line into slope-intercept form, simplifying all
fractions.
20y - 16x = 120
Answer:
15
2
Submit Answer
PLS HEP ASAP

Answers

alright I can help!!

so slope intercept form is y= mx +b

20y=16x+120

y=(16x+120)/20

final answer: y=(4/5)x +6

Alexa has $300 in her bank account. Each week for 5 weeks she spends 18 dollars on things. How much money does she have after 5 weeks

Answers

$210 is what she has in her bank account after 5 weeks.
18*5 =90
300-90= 210

Answer:

$210

Step-by-step explanation:

$300 - (5 x 18)

= 300 - 90

= $210

Date: / ot of so from the tind the value proportion:x: 35:98:60. 2​

Answers

Answer:

jsjsjsjjejejejsjsisj

sjjsjskzij

Step-by-step explanation:

gwhshs

Help please and thank you (Algebra 1)

Answers

Answer:

17x² - 22x - 2

Step-by-step explanation:

Given

(5x² + 6x - 2) + 4x(3x - 7) ← distribute parenthesis

= 5x² + 6x - 2 + 12x² - 28x ← collect like terms

= 17x² - 22x - 2

Find the mean, median, and mode of 14, 15, 3, 15, 14, 14, 18, 15, 8, 16.

Answers

Answer:

mean: 13.2 (average)

median: 14.5 (Center)

mode: 14 and 15 (because data is bimodal so there are two modes

Step-by-step explanation:

Answer:

mean = 13.2, median = 15.5, mode = 18

Step-by-step explanation:

mean = 14+15+3+15+14+14+18+15+8+16/10

= 132/10 = 13.2

median =[ (n/2)th term + (n/2+1)term ]/2

here n is even so this formula is applied and before this is done, the numbers given are to be arranged in ascending or descending order

= [10/2 + (10/2+1)]/2

= [5th term + 6th term]/2

= (15+16)/2

= 31/2 = 15.5

mode = 18

Select the correct answer. Consider this absolute value function. f(x)= |x-5| How can function f be written as a piecewise function?

(multiple choice)

Answers

Answer:

Option A.

Step-by-step explanation:

An absolute value function can be written in two ways, as the absolute value sign does not allow negative values.

[tex]|x-5|=x-5[/tex]

or

[tex]|x-5|=-(x-5)=-x+5[/tex]

The only options with these equations are A. and D.

D. can be eliminated as the inequalities given for the piecewise function do not match f(x)

To see it visually, you can try graphing it on a calculator or internet graphing service.

What is 10 x 0.018?

0.18
1.8
18
180

Answers

Answer:

0.18

Step-by-step explanation:

hope this helps

Answer:

0.18

Step-by-step explanation:

multiply them together

Estimate the value of 13−−√. Between which two whole numbers?

Answers

Answer:

Step-by-step explanation:

I guess you mean √13.

3^2 = 9 and 4^2 = 16 so the square roots is between 3 and 4.

3.5^2 =  3*4 + 0.25 = 12.25 so it looks like its about 3.6.

CORRECT ANSWER ONLY PLEASE!!! The table of values represents the function g(x) and the graph shows the function f(x).

Answers

Answer: Choice C.  f(x) and g(x) have a common x intercept.

Explanation:

The graph of f(x) shows it has an x intercept at x = 2, since this is one location where the curve crosses the x axis.

The g(x) table shows that x = 2 and y = 0 pair up together. This is the location (2,0). This location is the exact same x intercept as described earlier.

This is the common x intercept the two functions share. This means the two functions cross or intersect at this location.

What is an Equation that m=2

Answers

Answer:

5+5m=15

Step-by-step explanation:

y=2x+c

m=slope
Straight line

2 similar caps cost as much as 3 similar shirts.
4 such caps and 3 such T-shirts cost $36.60

Find the cost of a cap, and the cost of 3 T-Shirts​

Answers

Answer:

a=dollars6.10

b=dollars12.20

Step-by-step explanation:

Cap=x T-shirt=y

2x=3y 4x+2y=36.6

4x+ 3y=36.6 x=6.10

a) 4caps: 6.10

b) 3T-Shirt:3y=2x=2×6.10= 12.20

(According to Task)

An equation is formed when two equal expressions. The cost of a cap and the cost of 3 T-Shirts is $18.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Let the cost of a cap be represented by 'c', while the cost of a t-shirt is represented by t.

Given that 2 similar caps cost as much as 3 similar T-shirts. Therefore, the equation can be written as,

2c = 3t

Solve the equation for c,

c = (3/2)t....... equation 1

Now, it is also given that 4 such caps and 3 such T-shirts cost $36.60. Therefore, the equation can be written as,

4c + 3t = 36

Substitute the value of c from equation 1,

4(3/2)t + 3t = $36

6t + 3t = $36

9t = $36

t = $4

Now, substitute the value of t in the equation to get the value of c,

c = (3/2)t

c = (3/2) × $4

c = $6

Further, the cost of a cap, and the cost of 3 T-Shirts is,

Total Cost = c + 3t

                 = $6 + 3($4)

                 = $6 + $12

                 = $18

Hence, the cost of a cap, and the cost of 3 T-Shirts is $18.

Learn more about Equation:

https://brainly.com/question/2263981

#SPJ5

I neeed Help it easy

Answers

Equation of the line:

y = 1.5x – 4.5

or
y = 3/2 - 9/2

Slope (m) = ΔY/ΔX= 3/2= 1.5
m= 1.5


А football player shoot to score When he is 12m from one goal post and 6m from the other. If the goal posts are 7m apart, within what angle must a ground Shoot be made to score​

Answers

Answer:

24.54°

Step-by-step explanation:

The three segments make a triangle with sides 6, 7 and 12 m.

We need to find the angle opposite to side 7 m.

Use the low of cosines to work out the angle x:

cos x = (6² + 12² - 7²)/(2*6*12)cos x = 0.9097x = arccos (0.9097)x = 24.54° (rounded)

An electrician charges $32 per home visit plus an additional $22.75 per hour. He arrives at a costumers home at 9:00am. The final bill for the visit is $128.69. At approximately what time did the electrician Lea e the costumers home?

Answers

Answer:

well since you said 32 per home since that wasnt a hour he was there, i took off 32 from the 128.69 and got 96.69 and divided that by 22.75 and got 4.2 hours but if that's not what you are talking about ill also give the answer for 128.69 divided by 22.75 and the answer for that is 5.6

Step-by-step explanation:

so just add 4.2 or 5.6 to hours and you will get you question at what time he left

Solve for y. Simplify your answer as much as possible.
4=64/y

Answers

Answer:

y=16

Step-by-step explanation:

Multiply all terms by the same value to eliminate fraction denominators

Cancel multiplied terms that are in the denominator

Re-order terms so that constants are on the left

Divide both sides of the equation by the same term

Simplify

Cancel terms that are in both the numerator and denominator

Divide the numbers

Answer:

y is 16

Step-by-step explanation:

[tex]4 = \frac{64}{y} [/tex]

but 64 is 4³:

[tex]4 = \frac{ {4}^{3} }{y} [/tex]

make y the subject:

[tex]y = \frac{ {4}^{3} }{4} [/tex]

from law of indices:

[tex]y = 4 {}^{(3 - 1)} \\ y = {4}^{2} \\ y = 16[/tex]

solve the equation
4(2^m+1)-16^m=0​

Answers

m=2
That’s the answer

[tex]\\ \rm\longmapsto 4(2^m+1)-16^m=0[/tex]

[tex]\\ \rm\longmapsto 8^m+4-16^m[/tex]

take 4common

[tex]\\ \rm\longmapsto 4(2^m+1-4^m)=0[/tex]

[tex]\\ \rm\longmapsto 2^m-4^m+1=0[/tex]

[tex]\\ \rm\longmapsto 2^m=4^m[/tex]

[tex]\\ \rm\longmapsto 2^m=2^{2^m}[/tex]

[tex]\\ \rm\longmapsto 2^m=m[/tex]

[tex]\\ \rm\longmapsto m=\dfrac{1}{2}[/tex]

I need answers asap!!!!!!!

Answers

Step-by-step explanation:

with God everything is possible

explanation

because we go to church

write each fraction number as a decimal 2 1/8

Answers

Answer:

2 1/8 as a decimal is 2.125

Step-by-step explanation:

Answer:

2.125

Step-by-step explanation:

To find the decimal version of the fraction number, you need to divide 1/8, which is .125; combining that with the original whole number, you get 2.125.

12a+5b-3c, 6c-5a+8b, -8b+5c-7a​

Answers

Answer:

11c-12a

Step-by-step explanation

Combine like terms

The answer is 11c-12a

Rewrite each angle in radian measure as a multiple of π.

540°


Rewrite each angle in degree measure.

-4π

Answers

Answer:

Step-by-step explanation:

540° = 360° x 1 + 180°

= 2π + π

= 3π

CMIIW

Other Questions
PassageLibraries are places where people read, study, and use the computer. They need quiet. If a person stampshis feet while walking, he will bother those people trying to concentrate.QuestionIn the passage above, what does "stamps" mean?O Mails a letterO Wears socksO Steps noisilyO Makes a mark with ink I need help on #5 please and thank you What is the first practical question you should ask before you begin writing?A. How will the story end?B. What is the conflict? c. Who is my audience?D. Who are the characters?NSUBMIT correct the following Does they do this job well 13 Points Plz Help Me - Rewrite each pair of sentences into a single complex sentence without changing the meaning 1. He is busy with his studies. He has to complete his revision before the exam begins. 2. Guy Fawkes Night commemorates and event in England in 1605.It was the uncovering of a plot to blow up Parliament. PLEASE HELP!! i cant figure this out!Given the point A(-3,-3) and B(5,1), find the coordinates of the point P on the directed line segment AB that partitions AB in the ratio of 3:1. Evaluate-2xy, if x=-4 and y=1.320-160-3216 The midpoint of AB is M(3, 1). If the coordinates of A are (1, -1), what are thecoordinates of B? estas de acuerdo con la sociedad brahmanica ?por que? If you are performing the following translation (x,y) --> (x + 3, y -4) Determine how that would change the original ordered pair (10, 9). Select the new ordered pair after the Translation. (answer choices below)(7, 9)(10, 4)(3, 10)(13, 5) (x-2)/(x+1)=1/2 . find x What is the value of the expression 4x^3 3x when x = 6? When it comes to the decisions made by their government, why is it the responsibility of all citizens in a society to be informed? Explain in terms of structure and bonding why nickel has a high melting point main and secondary characters in pocahontas by joseph bruchac! 30 points pls help with this problem Match the terms to their definition.1. union2. intersection3. compound inequalityHurry plz Help please. Domain ASAP who ruled most of Europe during the 1600 and 1700's